Multiple diffraction of a line source field by a three-part thin transmissive slab


ALKUMRU A., Polat B.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, vol.78, no.3, pp.183-195, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 3
  • Publication Date: 1998
  • Title of Journal : ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
  • Page Numbers: pp.183-195

Abstract

A uniform asymptotic high-frequency solution is presented for the problem of diffraction of a line source field by a three-part thin transmissive slab. After simulating the slab by a material plane with a set of approximate boundary conditions used recently by RAWLINS et al., the three-part boundary-value problem is transformed into a modified matrix Wiener-Hopf equation. By performing the factorization of the kernel matrix through the DANIELE-KHRAPKOV method, the modified matrix Wiener-Hopf equation is first reduced to a pair of coupled Fredholm integral equations of the second kind and then solved approximately by iterations. An interesting feature of the present solution is that the classical Wiener-Hopf arguments yield unknown constants which may be determined by means of the edge conditions.